Search a number
-
+
9690016 = 257181239
BaseRepresentation
bin100100111101…
…101110100000
3200020022012111
4210331232200
54440040031
6543405104
7145235530
oct44755640
920208174
109690016
115519286
1232b3794
13201374b
1414034c0
15cb61b1
hex93dba0

9690016 has 48 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 4112640.

The previous prime is 9689993. The next prime is 9690029. The reversal of 9690016 is 6100969.

9690016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9690016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40425 + ... + 40663.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 29690016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9690016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

9690016 is an abundant number, since it is smaller than the sum of its proper divisors (12324704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9690016 is a wasteful number, since it uses less digits than its factorization.

9690016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 9690016 is about 3112.8790532239. The cubic root of 9690016 is about 213.1939280209.

The spelling of 9690016 in words is "nine million, six hundred ninety thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 181 224 239 362 478 724 956 1267 1448 1673 1912 2534 2896 3346 3824 5068 5792 6692 7648 10136 13384 20272 26768 40544 43259 53536 86518 173036 302813 346072 605626 692144 1211252 1384288 2422504 4845008 9690016